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Finding the Third Proportional to 608,024.25 and 1,407,431.25

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Solution

The third proportional to 608,024.25 and 1,407,431.25 is: 3,257,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,024.25 : 1,407,431.25 = 1,407,431.25 : x
  2. Step 2: Convert to fraction form
    608,024.25/1,407,431.25 = 1,407,431.25/x
  3. Step 3: Cross multiply
    608,024.25x = 1,407,431.25 × 1,407,431.25
  4. Step 4: Simplify right side
    608,024.25x = 1,980,862,723,476.56
  5. Step 5: Solve for x
    x = 1,980,862,723,476.56/608,024.25
  6. Step 6: Final answer
    x = 3,257,867.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.